106995 has 16 divisors (see below), whose sum is σ = 195840. Its totient is φ = 48864.

The previous prime is 106993. The next prime is 107021. The reversal of 106995 is 599601.

106995 = 25² + 26² + ... + 69².

It is not a de Polignac number, because 106995 - 2¹ = 106993 is a prime.

It is a super-2 number, since 2×106995² = 22895860050, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106995.

It is not an unprimeable number, because it can be changed into a prime (106993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (12240).

2¹⁰⁶⁹⁹⁵ is an apocalyptic number.

106995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106995 is a deficient number, since it is larger than the sum of its proper divisors (88845).

106995 is a wasteful number, since it uses less digits than its factorization.

106995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 106995 is about 327.1009018636. The cubic root of 106995 is about 47.4738544941.

The spelling of 106995 in words is "one hundred six thousand, nine hundred ninety-five".